Topics in optimal transportation
This graduate textbook reviews results about the existence and regularity of the optimal mass transportation problem, introducing such topics as displacement interpolation, its applications to functional inequalities with geometric content, the Monge-Kantorovich problem, and a differential formulation of the transportation problem inspired by fluid mechanics. Annotation (c)2003 Book News, Inc., Portland, OR.
Read More ↓Title Statements
- Full title :Topics in optimal transportation / Cédric Villani.
Summary
This graduate textbook reviews results about the existence and regularity of the optimal mass transportation problem, introducing such topics as displacement interpolation, its applications to functional inequalities with geometric content, the Monge-Kantorovich problem, and a differential formulation of the transportation problem inspired by fluid mechanics. Annotation (c)2003 Book News, Inc., Portland, OR.
Read More ↓Edition Statements
- Publication Date:©2003.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, RI
- Language:eng
- Publication Date:©2003.
The Physical Object
- Description:xvi, 378 pages : : illustrations ; : 26 cm.
Edition Identifiers
- ISBN:082183312X, 9780821833124
- oclc:ocm51477002
- LC Classification:QA402.6
- Dewey Decimal:519.7/2
Table of Contents
Ch. 1. The Kantorovich Duality -- Ch. 2. Geometry of Optimal Transportation -- Ch. 3. Brenier's Polar Factorization Theorem -- Ch. 4. The Monge-Ampere Equation -- Ch. 5. Displacement Interpolation and Displacement Convexity -- Ch. 6. Geometric and Gaussian Inequalities -- Ch. 7. The Metric Side of Optimal Transportation -- Ch. 8. A Differential Point of View on Optimal Transportation -- Ch. 9. Entropy Production and Transportation Inequalities -- Ch. 10. Problems -- Table of Short Statements.
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